Given that (x sub n) is a sequence of real numbers, that x > 0, and that (x sub n) approaches x as n approaches infinity, prove that there exists an integer N such that the inequality x > 0 holds for all integers n greater than or equal to N.

Mar 4th 2010, 09:13 PM

Drexel28

Quote:

Originally Posted by Slazenger3

Given that (x sub n) is a sequence of real numbers, that x > 0, and that (x sub n) approaches x as n approaches infinity, prove that there exists an integer N such that the inequality x > 0 holds for all integers n greater than or equal to N.